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Almost periodic solution of a diffusive mixed system with time delay and type III functional response. (English) Zbl 1142.92341
Summary: A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying the Lyapunov-Razumikhin technique, we point out, under almost periodic circumstances, a set of sufficient conditions that assure the existence and uniqueness of a positive almost periodic solution which is globally asymptotically stable.

MSC:
92D40 Ecology
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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